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中国科学通报：英文版

GENERALIZED BAKER-HAUSDORFF FORMULA AND ITS APPLICATION

井思聪, 阮图南

Published Jan 1, 1989• 0 citations
OpenAlex

Abstract

Ⅰ. INTRODUCTION In quantum theories, we have to often make calculations of matrices. Baker-Hausdorff (B. H., for short,) formula is very useful in these calculations. Let A and B be two n-dimensional matrices, according to the B. H. formula, we may construct a new n-dimensional matrix C so that e~Ae~B=e~C. (1.1) In practice, we often expand the matrix C into a power series of A and B, whose first terms are

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Ⅰ. INTRODUCTION In quantum theories, we have to often make calculations of matrices. Baker-Hausdorff (B. H., for short,) formula is very useful in these calculations. Let A and B be two n-dimensional matrices, according to the B. H. formula, we may construct a new n-dimensional matrix C so that eAeB=e~C. (1.1) In practice, we often expand the matrix C into a power series of A and B, whose first terms are
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